Geodesy

Metaheuristic

Algorithm

Benchmark (surveying)

Chaotic

Pure mathematics

CHAOS (operating system)

Computer security

Field (mathematics)

Convergence (economics)

Local search (optimization)

Economics

Computer science

Mathematical optimization

Mathematics

Geography

Mathematical analysis

Artificial intelligence

Economic growth

Ergodic theory

Chaos Solitons & Fractals

Metaheuristic optimization algorithms are efficiently used in many large-scale complex problems. Recently, a physics-based metaheuristic search and optimization method entitled Optics Inspired Optimization (OIO) has been proposed. OIO treats the search field of the interested problem to be optimized as a wavy mirror in which the concave mirror is represented as a valley and the convex mirror is represented as a peak. Each candidate solution represents an artificial light point. OIO is a very new metaheuristic method and different approaches should be integrated to obtain a faster convergence with high accuracy by balancing the exploitation and exploration. This paper is the first work on performance improvement of this method by preventing the falling into local optimum solutions and slow convergence speed. In this article, different ergodic chaotic systems are used for the first time to generate chaotic values instead of random values in OIO processes in order to enhance the global convergence speed and prevent stuck on local solutions of classical OIO algorithm. For this purpose, three new enhanced OIO methods are proposed. Furthermore, a new application area for chaos is proposed. The chaotic OIO algorithms proposed in this study are tested in unconstrained benchmark problems and constrained real-world engineering problems. Promising results are obtained from the detailed simulations.

Chaos based optics inspired optimization algorithms as global solution search approach